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pith:KZPZX5C2

pith:2026:KZPZX5C2BGAX2IBFQZOPXAEZS6
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Reducing Postselection Overhead in Magic-State Cultivation by In-Patch Multiplexing

Aniket Patra, Dongmin Kim, Jeonggeun Seo, Youngsun Han

In-patch multiplexing reduces expected attempts in magic-state cultivation by creating multiple early opportunities inside one logical patch.

arxiv:2605.03616 v2 · 2026-05-05 · quant-ph

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\pithnumber{KZPZX5C2BGAX2IBFQZOPXAEZS6}

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4 Citations open
5 Replications open
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Claims

C1strongest claim

Under a uniform depolarizing noise model with idle noise, the proposed protocol substantially reduces the injection-and-cultivation discard rate and the expected number of attempts required to obtain an accepted early-stage candidate. At a physical error rate of p=2×10^{-3}, the injection-and-cultivation expected attempts are reduced by 45.46% for d1=3 and by 72.91% for d1=5, relative to the single-site MSC baseline. In the direct full-cycle evaluation including escape, the expected attempts per kept logical output are further reduced by 49.04% for d1=3 and by 78.69% for d1=5.

C2weakest assumption

The escape stage and the decoder-based acceptance procedure can be kept identical to the single-site baseline without introducing new error sources or changing the logical-error behavior, and the uniform depolarizing noise model with idle noise accurately captures the relevant hardware behavior during multiplexing.

C3one line summary

In-patch multiplexing reduces expected attempts for early-stage magic-state cultivation by 45.46% (d1=3) to 72.91% (d1=5) and full-cycle attempts by 49-79% at p=2e-3, while final logical error rates stay governed by the escape-stage threshold.

Receipt and verification
First computed 2026-05-29T02:05:45.767618Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

565f9bf45a09817d2025865cfb809997a91700d91970b8b8c9c60703a9cf6e7e

Aliases

arxiv: 2605.03616 · arxiv_version: 2605.03616v2 · doi: 10.48550/arxiv.2605.03616 · pith_short_12: KZPZX5C2BGAX · pith_short_16: KZPZX5C2BGAX2IBF · pith_short_8: KZPZX5C2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KZPZX5C2BGAX2IBFQZOPXAEZS6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 565f9bf45a09817d2025865cfb809997a91700d91970b8b8c9c60703a9cf6e7e
Canonical record JSON
{
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    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-05T10:42:57Z",
    "title_canon_sha256": "db3c21f451974f12fbd941a72750a7caad9ea740229c3b5ba15d61f585e8d2a1"
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  "source": {
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    "kind": "arxiv",
    "version": 2
  }
}